• Title/Summary/Keyword: mathematical competency

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Analyzing an elementary school teacher's difficulties and mathematical modeling knowledge improvement in the process of modifying a mathematics textbook task to a mathematical modeling task: Focused on an experienced teacher (수학 교과서 과제의 수학적 모델링 과제로의 변형 과정에서 겪는 초등학교 교사의 어려움과 수학적 모델링 과제 개발을 위한 지식의 변화: 한 경력 교사의 사례를 중심으로)

  • Jung, Hye-Yun
    • The Mathematical Education
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    • v.62 no.3
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    • pp.363-380
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    • 2023
  • This study analyzed the difficulties and mathematical modeling knowledge improvement that an elementary school teacher experienced in modifying a mathematics textbook task to a mathematical modeling task. To this end, an elementary school teacher with 10 years of experience participated in teacher-researcher community's repeated discussions and modified the average task in the data and pattern domain of the 5th grade. The results are as followings. First, in the process of task modification, the teacher had difficulties in reflecting reality, setting the appropriate cognitive level of mathematical modeling tasks, and presenting detailed tasks according to the mathematical modeling process. Second, through repeated task modifications, the teacher was able to develop realistic tasks considering the mathematical content knowledge and students' cognitive level, set the cognitive level of the task by adjusting the complexity and openness of the task, and present detailed tasks through thought experiments on students' task-solving process, which shows that teachers' mathematical modeling knowledge, including the concept of mathematical modeling and the characteristics of the mathematical modeling task, has improved. The findings of this study suggest that, in terms of the mathematical modeling teacher education, it is necessary to provide teachers with opportunities to improve their mathematical modeling task development competency through textbook task modification rather than direct provision of mathematical modeling tasks, experience mathematical modeling theory and practice together, and participate in teacher-researcher communities.

Analysis of Effectiveness of NCS Mathematics Ability Course in Junior College (전문대학에서 NCS 수리능력 수업의 효과성 분석)

  • Ban, Heeyoung
    • Journal of the Korean School Mathematics Society
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    • v.21 no.2
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    • pp.91-111
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    • 2018
  • Junior college students in located Eup-Myeon areas commonly fail to meet the basic standards of mathematics. This leads students to lack basic knowledge and to have difficulties in studying their majors. In addition, students often lose their interest in the study and eventually leave school or drop out, while some have difficulties in their life at work. To remedy and solve these problems, the country proposes National Competency Standards(NCS). The basic occupational competencies proposed in NCS are essential occupational abilities required to successfully perform the job. I want to apply mathematical ability, which is one of the basic occupational competencies, to mathematics education of junior college. Applying NCS mathematical ability to junior college students, I would like to examine the effectiveness of the NCS mathematical ability course. The purpose of this study is to find out the way of education of desirable mathematical ability and to raise basic academic ability and interest in mathematics.

An Enrichment Program for the Mathematically Gifted Students in First Grade

  • Lee, Kang-Sup;Hwang, Dong-Jou
    • Research in Mathematical Education
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    • v.8 no.3
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    • pp.203-213
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    • 2004
  • We developed an enrichment program material for the mathematically gifted students in the first grade. The contents were selected and organized based on creative competency improving, increasing of interest, inquiry various activity, interdisciplinary approaches, and the enrichment contents from modern mathematics.

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Process-Focused Assessment for Mathematical Subject Competency in Elementary Mathematics Classroom (초등 수학교실에서 역량 기반 과정중심평가의 적용 방안에 대한 연구)

  • Jeon, Youngju;Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.22 no.3
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    • pp.199-219
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    • 2019
  • It is necessary to study how to plan and perform the process-focused assessment of the teacher as the planner and practitioner to examine the application of the process-focused assessment for mathematical subject competency in a mathematics classroom. In this study, we designed and conducted an experimental lesson based on the process-focused assessment for elementary school students. This study explored the practical application of the process-focused assessment. In addition, we explored how to apply it to elementary mathematics education. This study suggests a method to embody the process-focused assessment class that can be applied in the 2nd grade mathematics class in elementary school. We propose future research on how to provide individual feedback to each student's needs in the process-focused assessment.

The Effects of Mentoring Experience in STEAM Classes on Pre-service Mathematics Teachers' Teaching Competency for STEAM Education (STEAM 수업에서의 멘토교사 경험이 예비수학교사들의 STEAM 교수 역량에 미치는 효과)

  • Han, Hyesook
    • Communications of Mathematical Education
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    • v.32 no.1
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    • pp.1-22
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    • 2018
  • The purpose of the study was to examine the effects of mentoring experience in STEAM classes on pre-service mathematics teachers' teaching competency for STEAM education. The study was conducted with 23 pre-service mathematics teachers who participated in the mentoring program affiliated with free learning semester system during one semester. To investigate the changes of pre-service mathematics teachers' teaching competencies for STEAM education and the effects of the mentoring program, pre, post questionnaires, lesson journals, and whole group discussion data were collected. According to the results, pre-service mathematics teachers' competencies for 'knowledge of STEAM education', 'subject matter knowledge', 'teaching and learning methods', and 'learning environments and circumstances' categories were improved significantly after the mentoring program. Especially, some results indicated that pre-service mathematics teachers' teaching experiences in real STEAM classrooms were very helpful for the development of understandings of STEAM education and construction of practical knowledge.

Analyzing Effects of Cognitive Styles and Developmental Stages on Mathematical Communication Ability (인지양식 및 인지발달단계가 수학적 의사소통 능력에 미치는 효과)

  • 이종희;황보경
    • The Mathematical Education
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    • v.40 no.1
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    • pp.1-14
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    • 2001
  • The main purpose of this study is to find out how each students' different cognitive styles and cognitive developmental stages influence their mathematical communication capabilities. Our results are as follows: First, there was an interaction effect between cognitive styles and cognitive developmental stages. Students in the independent-formal group get good marks in written ability. Students' cognitive developmental stages influence their writing abilities. Second, There is a little difference in oral communication ability depending on cognitive styles. Students in the field-independent group participated in more actively and creatively, and showed competency in expressions and speaking skills and students' cognitives styles inflence their speaking abilities.

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Pre-service mathematics teachers' perceptions on mathematical modeling and its educational use (예비 수학 교사들의 수학적 모델링 및 그 교육적 활용에 대한 인식)

  • Han, Sunyoung
    • The Mathematical Education
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    • v.58 no.3
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    • pp.443-458
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    • 2019
  • Mathematical modeling has been a crucial topic in mathematics education as students' problem solving competency are regarded as a core skill for future society. Despite of the importance of mathematical modeling in school mathematics, there have been very limited studies relating pre-service teachers' knowledge and perceptions on mathematical modeling. In this vein, this study aimed to investigate pe-service mathematics teachers' perceptions on mathematical model, mathematical modeling and educational use of mathematical modeling, and their relationships. The current study utilized a survey consisted of 18 items. The responses of 210 pre-service mathematics teachers to the survey items were quantitatively analyzed using descriptive statistics, analysis of variance, exploratory and confirmatory factor analysis, the structural equation model, and multi group analysis. The results of analysis of variance revealed that pre-service teachers in difference groups (majors, grades, and experiences with mathematical modeling) showed statistically significant differences in mean values. Moreover, according to the results from the structural equation modeling analysis, pre-service mathematics teachers' perceptions on mathematical model and modeling affected their perceptions on educational use of mathematical modeling. In addition, depending on their pre-experiences with mathematical modeling, pre-service teachers represented a different relationship between perceptions on mathematical modeling and educational use of mathematical modeling. Implications for future studies and mathematics classrooms were discussed.

The Convergence Effects of Key Vocational Competency on Career Decision Making in Dental Hygiene Students (치위생(학)과 학생들의 직업기초역량이 진로의사결정에 미치는 융합적 영향요인)

  • Park, Jung-Hyun;Jang, Kyeung-Ae
    • Journal of the Korea Convergence Society
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    • v.9 no.10
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    • pp.159-165
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    • 2018
  • This study was conducted to investigate the convergence effects of key vocational competency on career decision making in dental hygiene students. To this end, 196 students with an experience of clinical field training, who were enrolled in the department of dental hygiene in universities of Busan and Ulsan area. The collected data were analyzed by frequency analysis, correlation analysis and linear regression analysis using SPSS 24.0 program. The subjects' awareness level of key vocational competency was 3.38 points, while that of career decision making was 3.30 points. Among the sub-factors of key vocational competency, the awareness level of professional ethics was 3.46 points, which was the highest. As factors of key vocational competency affecting career decision making, interpersonal skills(p<0.01), skills for understanding groups(p<0.01), resource management skills(p<0.01), self-development skills(p<0.05), problem-solving skills(p<0.05), and mathematical skills(p<0.05) were found to be significant. It is necessary to make student individual, departmental, and university level convergence efforts and to develop curriculum so that dental hygiene education can help students equip with the key vocational competency as well as major competency.

Vocational Competency Constituents Affecting the Professionalism of Dental Hygienists (치과위생사의 전문직업성에 영향을 미치는 직업기초능력요소)

  • Yang, Seung-Kyeong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.10
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    • pp.6558-6566
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    • 2015
  • The purpose of this study was to examine the constituents of vocational competency affecting the professionalism of dental hygienists. The subjects in this study were 230 dental hygienists who worked in university hospitals, dental hospitals, dental clinics and public dental clinics. A survey was conducted from December, 2013, to February, 2014. To assess their vocational competency and professionalism by general characteristics, one-way ANOVA and t-test were utilized, and the level of significance was set at p<0.05. To determine what elements of vocational competency affected their professionalism, multiple regression analysis was made, and standardized regression coefficients were calculated to represent the influence of the elements. As a result, it's found that the professionalism of the dental hygienists were under the influence of their self-development skills, organizational understanding and mathematical ability. To foster self-development skills, discussion method should be utilized, and team teaching should be used to improve organizational understanding. Besides, internship and on-the-job training should be managed in a more systematic way.

Analysis of Intended Competency in Authorized Elementary Mathematics Textbooks: Focusing on Creativity Convergence Competency (검정 초등 수학 교과용 도서에서 나타난 의도된 역량 분석: 창의·융합 역량을 중심으로)

  • Kim, Jinho;Yeo, Sheunghyun
    • Education of Primary School Mathematics
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    • v.26 no.1
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    • pp.1-13
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    • 2023
  • One of major goals of mathematics education is to cultivate human resources which equip creative problem-solving ability. Thus, the enhancement of creative and converging ideas has been emphasized in the national curriculum since the 2009 revised curriculum. In the current study, we analyzed authorized textbook series to examine how each curriculum material addresses the creativity convergence competency. The foci of the analysis were creativity (originality, fluency, flexibility, elaboration) and convergence (intrinsic connection, extrinsic connection). In addition, we analyzed the national textbook which was based on the 2015 revised curriculum to investigate the transition between the national textbook and the authorized textbooks. We found the tasks that focused on fluency were the most frequent type regarding creativity and the tasks that connected with everyday life situations (extrinsic connection) were prevalent across the three textbook series. We provided suggestions about the development of mathematics textbooks and their implementation.